A Geometrical Introduction to Tensor Calculus
Tensor calculus has a huge series of applications across the physical sciences. From machine learning to fundamental physics, a solid foundation in tensor calculus and differential geometry is becoming more essential. Despite these skills being in such high regard, the texts that currently exist to support the learning and reinforcement of tensor calculus are, for the most part, too terse and technical in nature. For students who are not inherently pure mathematicians ( as is mostly the case ), these texts are too proof-based, overtly technical and most egregiously do not show students how to apply these concepts to actual problems. For those of us with a physics background, such texts often present an insurmountable challenge to our education, and are often a deterrent for further study. A Geometrical Introduction to T ensor Calculus is a refreshing exploration of both the theory and (drawing on the author's research expertise) application of tensor calculus. As a tra...